%I #3 Mar 30 2012 18:59:08
%S 1,1,1,1,5,1,1,15,9,1,1,35,45,13,1,1,70,165,91,17,1,1,126,495,455,153,
%T 21,1,1,210,1287,1820,969,231,25,1,1,330,3003,6188,4845,1771,325,29,1,
%U 1,495,6435,18564,20349,10626,2925,435,33,1,1,715,12870,50388,74613,53130
%N Number triangle binomial(n+3k,4k).
%C Riordan array (1/(1-x), x/(1-x)^4). Rows sums are A055988. Diagonal sums are A109961. Inverse array is A109962.
%F Number triangle T(n, k)=binomial(n+3k, 4k)
%e Rows begin
%e 1;
%e 1,1;
%e 1,5,1;
%e 1,15,9,1;
%e 1,35,45,13,1;
%e 1,70,165,91,17,1;
%K easy,nonn,tabl
%O 0,5
%A _Paul Barry_, Jul 06 2005